Author： Prykarpats'kyi Ya. A.
Publisher： Springer Publishing Company
ISSN： 0041-5995
Source： Ukrainian Mathematical Journal, Vol.55, Iss.12, 2003-12, pp. : 2041-2059
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
On the basis of generalized Lagrange identity for pairs of formally adjoint multidimensional differential operators and a special differential geometric structure associated with this identity, we propose a general scheme of the construction of corresponding transformation operators that are described by nontrivial topological characteristics. We construct explicitly the corresponding integro-differential symbols of transformation operators, which are used in the construction of Lax-integrable nonlinear two-dimensional evolutionary equations and their Darboux–Bäcklund-type transformations.
Related content
Access to resources
Recommend
